Chosen Fixed Point
Here is the data for the chosen fixed point.
$F_{UV}$ represents the flavor symmetries in the UV Lagrangian, and $F_{IR}$ represents the flavor symmetries in the IR. $F_{UV}$ and $F_{IR}$ can differ due to accidental symmetry enhancement.
The number of marginal operators, $n_{marginal}$, minus the dimension of flavor symmetries in IR, $|F_{IR}|$, corresponds to the coefficient of $t^6$ in the superconformal index.
# | Theory | Superpotential | Central charge $a$ | Central charge $c$ | Ratio $a/c$ | Matter field: $R$-charge | U(1) part of $F_{UV}$ | Rank of $F_{UV}$ | Rational |
---|---|---|---|---|---|---|---|---|---|
47113 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{3}X_{1}$ | 0.6011 | 0.7433 | 0.8087 | [X:[1.3686], M:[1.1229, 0.959, 0.6314, 0.7952, 1.041], q:[0.2602, 0.6169], qb:[0.7807, 0.5879], phi:[0.4386]] | [X:[[36]], M:[[12], [-4], [-36], [-20], [4]], q:[[1], [-13]], qb:[[3], [33]], phi:[[-6]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{5}$, ${ }M_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }X_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}M_{5}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{5}\phi_{1}^{2}$ | ${}$ | -1 | t^2.386 + t^2.544 + t^2.631 + t^2.877 + t^3.123 + t^3.369 + t^3.86 + t^3.947 + t^4.106 + t^4.193 + t^4.771 + t^4.843 + t^4.93 + t^5.017 + t^5.089 + t^5.176 + 2*t^5.263 + t^5.422 + 2*t^5.509 + t^5.667 + 2*t^5.754 - t^6. - t^6.087 + t^6.246 + t^6.404 + 2*t^6.491 + t^6.578 + t^6.65 + 2*t^6.737 + t^6.824 + t^7.157 + t^7.229 + t^7.387 + 2*t^7.474 + t^7.633 + 2*t^7.648 + 2*t^7.72 + t^7.807 + 3*t^7.894 + 2*t^7.966 + 2*t^8.053 + 3*t^8.14 + 2*t^8.212 + t^8.299 - 2*t^8.544 - t^8.631 + t^8.703 - t^8.718 - 2*t^8.877 + 2*t^8.949 - t^4.316/y - t^6.701/y + (2*t^7.93)/y + t^8.017/y + t^8.176/y + t^8.263/y + t^8.422/y + (2*t^8.509)/y + t^8.667/y + (2*t^8.754)/y + t^8.913/y - t^4.316*y - t^6.701*y + 2*t^7.93*y + t^8.017*y + t^8.176*y + t^8.263*y + t^8.422*y + 2*t^8.509*y + t^8.667*y + 2*t^8.754*y + t^8.913*y | t^2.386/g1^20 + g1^34*t^2.544 + t^2.631/g1^12 + t^2.877/g1^4 + g1^4*t^3.123 + g1^12*t^3.369 + g1^28*t^3.86 + t^3.947/g1^18 + g1^36*t^4.106 + t^4.193/g1^10 + t^4.771/g1^40 + g1^60*t^4.843 + g1^14*t^4.93 + t^5.017/g1^32 + g1^68*t^5.089 + g1^22*t^5.176 + (2*t^5.263)/g1^24 + g1^30*t^5.422 + (2*t^5.509)/g1^16 + g1^38*t^5.667 + (2*t^5.754)/g1^8 - t^6. - t^6.087/g1^46 + g1^8*t^6.246 + g1^62*t^6.404 + 2*g1^16*t^6.491 + t^6.578/g1^30 + g1^70*t^6.65 + 2*g1^24*t^6.737 + t^6.824/g1^22 + t^7.157/g1^60 + g1^40*t^7.229 + g1^94*t^7.387 + 2*g1^48*t^7.474 + g1^102*t^7.633 + (2*t^7.648)/g1^44 + 2*g1^56*t^7.72 + g1^10*t^7.807 + (3*t^7.894)/g1^36 + 2*g1^64*t^7.966 + 2*g1^18*t^8.053 + (3*t^8.14)/g1^28 + 2*g1^72*t^8.212 + g1^26*t^8.299 - 2*g1^34*t^8.544 - t^8.631/g1^12 + g1^88*t^8.703 - t^8.718/g1^58 - (2*t^8.877)/g1^4 + 2*g1^96*t^8.949 - t^4.316/(g1^6*y) - t^6.701/(g1^26*y) + (2*g1^14*t^7.93)/y + t^8.017/(g1^32*y) + (g1^22*t^8.176)/y + t^8.263/(g1^24*y) + (g1^30*t^8.422)/y + (2*t^8.509)/(g1^16*y) + (g1^38*t^8.667)/y + (2*t^8.754)/(g1^8*y) + (g1^46*t^8.913)/y - (t^4.316*y)/g1^6 - (t^6.701*y)/g1^26 + 2*g1^14*t^7.93*y + (t^8.017*y)/g1^32 + g1^22*t^8.176*y + (t^8.263*y)/g1^24 + g1^30*t^8.422*y + (2*t^8.509*y)/g1^16 + g1^38*t^8.667*y + (2*t^8.754*y)/g1^8 + g1^46*t^8.913*y |
Deformation
Here is the data for the deformed fixed points from the chosen fixed point.
# | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
---|---|---|---|---|---|---|---|---|
55588 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{3}X_{1}$ + ${ }M_{2}M_{6}$ | 0.5974 | 0.7373 | 0.8102 | [X:[1.3618], M:[1.1206, 0.9598, 0.6382, 0.799, 1.0402, 1.0402], q:[0.2601, 0.6193], qb:[0.7802, 0.5817], phi:[0.4397]] | t^2.397 + t^2.525 + t^2.638 + 2*t^3.121 + t^3.362 + t^3.844 + t^3.957 + t^4.085 + t^4.198 + t^4.794 + t^4.809 + t^4.922 + t^5.035 + t^5.05 + t^5.163 + t^5.276 + 2*t^5.518 + 2*t^5.646 + 2*t^5.759 - 2*t^6. - t^4.319/y - t^4.319*y | detail | |
55556 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{3}X_{1}$ + ${ }M_{4}M_{6}$ | 0.5847 | 0.7158 | 0.8169 | [X:[1.3459], M:[1.1153, 0.9616, 0.6541, 0.8078, 1.0384, 1.1922], q:[0.2596, 0.6251], qb:[0.7788, 0.5671], phi:[0.4423]] | t^2.48 + t^2.654 + t^2.885 + t^3.115 + t^3.346 + t^3.577 + t^3.807 + t^3.981 + t^4.038 + t^4.212 + t^4.73 + t^4.96 + t^5.134 + t^5.308 + t^5.365 + t^5.539 + t^5.595 + t^5.769 - t^6. - t^4.327/y - t^4.327*y | detail | |
55630 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{3}X_{1}$ + ${ }M_{5}M_{6}$ | 0.605 | 0.7495 | 0.8072 | [X:[1.3754], M:[1.1251, 0.9583, 0.6246, 0.7914, 1.0417, 0.9583], q:[0.2604, 0.6144], qb:[0.7813, 0.5942], phi:[0.4374]] | t^2.374 + t^2.564 + t^2.625 + 2*t^2.875 + t^3.375 + t^3.876 + t^3.937 + t^4.126 + t^4.187 + t^4.749 + t^4.877 + t^4.938 + t^4.999 + t^5.128 + t^5.188 + 3*t^5.249 + 2*t^5.439 + 2*t^5.499 + 3*t^5.75 - 2*t^6. - t^4.312/y - t^4.312*y | detail | |
55824 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{3}X_{1}$ + ${ }M_{6}\phi_{1}q_{1}q_{2}$ | 0.6219 | 0.784 | 0.7932 | [X:[1.3657], M:[1.1219, 0.9594, 0.6343, 0.7968, 1.0406, 0.6828], q:[0.2602, 0.618], qb:[0.7805, 0.5852], phi:[0.4391]] | t^2.049 + t^2.391 + t^2.536 + t^2.634 + t^2.878 + t^3.122 + t^3.366 + t^3.853 + 2*t^4.097 + t^4.195 + t^4.439 + t^4.585 + t^4.683 + t^4.781 + t^4.828 + 2*t^4.927 + t^5.025 + t^5.072 + 2*t^5.17 + 2*t^5.269 + 2*t^5.414 + 2*t^5.512 + t^5.658 + 2*t^5.756 + t^5.902 - t^6. - t^4.317/y - t^4.317*y | detail | |
55648 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{3}X_{1}$ + ${ }M_{6}\phi_{1}q_{1}\tilde{q}_{2}$ | 0.6215 | 0.7817 | 0.7951 | [X:[1.3792], M:[1.1264, 0.9579, 0.6208, 0.7893, 1.0421, 0.7051], q:[0.2605, 0.6131], qb:[0.7816, 0.5976], phi:[0.4368]] | t^2.115 + t^2.368 + t^2.574 + t^2.621 + t^2.874 + t^3.126 + t^3.379 + t^3.931 + t^4.138 + t^4.184 + t^4.23 + t^4.483 + t^4.69 + 2*t^4.736 + t^4.896 + t^4.942 + 2*t^4.989 + t^5.149 + t^5.195 + 3*t^5.242 + t^5.448 + 3*t^5.494 + t^5.701 + 2*t^5.747 - t^6. - t^4.31/y - t^4.31*y | detail | |
55434 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{3}X_{1}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$ + ${ }M_{4}X_{2}$ | 0.4659 | 0.5625 | 0.8283 | [X:[1.8182, 1.4545], M:[1.2727, 0.9091, 0.1818, 0.5455, 1.0909], q:[0.2727, 0.4545], qb:[0.8182, 1.0], phi:[0.3636]] | t^2.182 + t^2.727 + 2*t^3.273 + 3*t^3.818 + t^4.364 + t^4.909 + t^5.455 + 2*t^6. - t^4.091/y - t^4.091*y | detail | {a: 9921/21296, c: 5989/10648, X1: 20/11, X2: 16/11, M1: 14/11, M2: 10/11, M3: 2/11, M4: 6/11, M5: 12/11, q1: 3/11, q2: 5/11, qb1: 9/11, qb2: 1, phi1: 4/11} |
55519 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{3}X_{1}$ + ${ }q_{1}^{2}\tilde{q}_{2}^{2}$ | 0.5832 | 0.7192 | 0.8109 | [X:[1.5294], M:[1.1765, 0.9412, 0.4706, 0.7059, 1.0588], q:[0.2647, 0.5588], qb:[0.7941, 0.7353], phi:[0.4118]] | t^2.118 + t^2.471 + t^2.824 + t^3. + t^3.176 + t^3.529 + t^3.706 + t^4.059 + 2*t^4.235 + 2*t^4.588 + 2*t^4.941 + t^5.118 + 2*t^5.294 + 3*t^5.647 + t^5.824 - t^4.235/y - t^4.235*y | detail | {a: 45843/78608, c: 7067/9826, X1: 26/17, M1: 20/17, M2: 16/17, M3: 8/17, M4: 12/17, M5: 18/17, q1: 9/34, q2: 19/34, qb1: 27/34, qb2: 25/34, phi1: 7/17} |
Equivalent Fixed Points from Other Seed Theories
Here is a list of equivalent fixed points from other gauge theories.
# | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
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Equivalent Fixed Points from the Same Seed Theory
Below is a list of equivalent fixed points from the same seed theories.
id | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | More Info. | Rational |
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Previous Theory
The previous fixed point before deforming to get the chosen fixed point.
# | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
---|---|---|---|---|---|---|---|---|---|
46504 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ | 0.7088 | 0.8952 | 0.7917 | [M:[1.1055, 0.7845, 0.6835, 1.0045, 0.6745], q:[0.4391, 0.4554], qb:[0.7764, 0.5401], phi:[0.4473]] | t^2.024 + t^2.051 + t^2.354 + t^2.684 + t^2.938 + t^3.014 + t^3.316 + t^3.695 + t^4.025 + t^4.047 + 2*t^4.074 + t^4.101 + t^4.279 + t^4.328 + t^4.377 + t^4.404 + t^4.582 + 2*t^4.707 + t^4.734 + t^4.961 + t^4.988 + 2*t^5.037 + t^5.064 + t^5.291 + t^5.34 + 3*t^5.367 + t^5.621 + t^5.67 + t^5.719 + t^5.875 - 2*t^6. - t^4.342/y - t^4.342*y | detail |